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Finding the Fourth Proportional to 50,484.32, 69,668.00 and 27,823.32

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Solution

The fourth proportional to 50,484.32, 69,668.00 and 27,823.32 is: 38,395.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,484.32 : 69,668.00 = 27,823.32 : x
  2. Step 2: Convert to fraction form
    50,484.32/69,668.00 = 27,823.32/x
  3. Step 3: Cross multiply
    50,484.32x = 69,668.00 × 27,823.32
  4. Step 4: Simplify right side
    50,484.32x = 1,938,394,918.64
  5. Step 5: Solve for x
    x = 1,938,394,918.64/50,484.32
  6. Step 6: Final answer
    x = 38,395.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.